If not, I suggest you reread The Gathering Storm. I am fairly confident that you will find that politicking and Ajah pride occupy a significantly greater portion of Aes Sedai priorities than Tarmon Gai'don, the Seanchan or the Black Tower, combined.

You are so clearly, massively and demonstrably wrong that it becomes difficult to properly express. In a series of thus far twelve books, the Tower division has been an important subplot for nine. I cannot believe that you have actually missed such a core fraction of the storyline, so I must assume you simply fail to comprehend what it is about. In short, Aes Sedai wage war against one another because of Aes Sedai's injured pride. If Tarmon Gai'don had been their priority, they would have waited until after the potential end of the world to settle their silly political squabble. That is what would have happened in the Borderlands according to Bashere, where fighting the Shadow is a priority. But that is evidently not the case with the White Tower. That you actually assert this to be the case is mind-blowing.

And really, there are numerous quotes that demonstrate that the Red Ajah does care about this issue, the most flagrant one being Pevara in The Extra Bit as I have referred before. I have no idea how you can expect me to actually swallow an outright fabrication like "The Red ajah clearly don't care about this".